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Euclid Sample Paper 1 · Q9

Paper 1Sequences & seriesNumber & counting

For real xx, let ⌊x⌋\lfloor x\rfloor be the greatest integer less than or equal to xx. What is the value of

∑n=1100⌊n⌋?\sum_{n=1}^{100}\left\lfloor\sqrt n\right\rfloor?
A575575
B600600
C615615
D625625
E650650

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